As a science fiction writer and astronomer, I'm not likely to become famous even with great success. I suppose there are examples like Stephen King and Carl Sagan who achieved such fame it affected their day-to-day lives in significant ways. Here is a very good reason to avoid fame: http://datemenatalie.com/
Poor Natalie Portman! First her role in Revenge of the Sith sucks, and now this guy. I suppose you don't have to be famous to have stalkers, but the odds increase dramatically.